메뉴 건너뛰기




Volumn 140, Issue 2, 2004, Pages 396-422

Twisted jets, motivic measures and orbifold cohomology

Author keywords

Deligne Mumford stacks; Gorenstein quotient singularities; Motivic measure; Orbifold cohomology; Twisted jets

Indexed keywords


EID: 13544268743     PISSN: 0010437X     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0010437X03000368     Document Type: Article
Times cited : (70)

References (30)
  • 1
    • 0036001742 scopus 로고    scopus 로고
    • Compactifying the space of stable maps
    • D. Abramovich and A. Vistoli, Compactifying the space of stable maps, J. Amer. Math. Soc. 15 (2002), 27-75.
    • (2002) J. Amer. Math. Soc , vol.15 , pp. 27-75
    • Abramovich, D.1    Vistoli, A.2
  • 2
    • 0003375118 scopus 로고    scopus 로고
    • Birational Calabi-Yau n-folds have equal Betti numbers
    • Cambridge University Press, Cambridge
    • V. V. Batyrev, Birational Calabi-Yau n-folds have equal Betti numbers, in New trends in algebraic geometry (Warwick, 1996) (Cambridge University Press, Cambridge, 1999), 1-11.
    • (1999) New trends in algebraic geometry (Warwick, 1996) , pp. 1-11
    • Batyrev, V.V.1
  • 3
    • 0003189255 scopus 로고    scopus 로고
    • Non-Archimedean integrals and stringy Euler numbers of log-terminal pairs
    • V. V. Batyrev, Non-Archimedean integrals and stringy Euler numbers of log-terminal pairs, J, Eur. Math. Soc. 1 (1999), 5-33.
    • (1999) J, Eur. Math. Soc , vol.1 , pp. 5-33
    • Batyrev, V.V.1
  • 4
    • 43449093208 scopus 로고    scopus 로고
    • W. Chen and Y. Ruau, A new cohomology theory for orbifold, Preprint (2000), math. AG/0004129.
    • W. Chen and Y. Ruau, A new cohomology theory for orbifold, Preprint (2000), math. AG/0004129.
  • 7
    • 84956099454 scopus 로고
    • The geometry of toric varieties
    • V. I. Danilov. The geometry of toric varieties, Russian Math. Surveys 33 (1978), 97-154.
    • (1978) Russian Math. Surveys , vol.33 , pp. 97-154
    • Danilov, V.I.1
  • 8
    • 43449088287 scopus 로고    scopus 로고
    • L. Dixon, J. A. Harvey, C. Vafa and E. Witten, Strings on orbifolds I; II, Nucl. Phys. B 281 (1985), 678-686: 274 (1986), 285-314.
    • L. Dixon, J. A. Harvey, C. Vafa and E. Witten, Strings on orbifolds I; II, Nucl. Phys. B 281 (1985), 678-686: 274 (1986), 285-314.
  • 9
    • 0033248102 scopus 로고    scopus 로고
    • Germs of arcs on singular algebraic varieties and motivic integration
    • J. Denef and F. Loeser, Germs of arcs on singular algebraic varieties and motivic integration, Invent. Math. 135 (1999), 201-232.
    • (1999) Invent. Math , vol.135 , pp. 201-232
    • Denef, J.1    Loeser, F.2
  • 11
    • 0036269740 scopus 로고    scopus 로고
    • Motivic integration, quotient singularities and the McKay correspondence
    • J. Denef and F. Loeser, Motivic integration, quotient singularities and the McKay correspondence, Compositio Math. 131 (2002), 267-290.
    • (2002) Compositio Math , vol.131 , pp. 267-290
    • Denef, J.1    Loeser, F.2
  • 12
    • 51649181666 scopus 로고
    • The irreducihility of the space of curves of given genus
    • P. Deligne and D. Mumford, The irreducihility of the space of curves of given genus, Inst. Hautes Études Sci. Publ. Math. 36 (1969), 75-109.
    • (1969) Inst. Hautes Études Sci. Publ. Math , vol.36 , pp. 75-109
    • Deligne, P.1    Mumford, D.2
  • 15
    • 0000020999 scopus 로고
    • Intersection theory on algebraic stacks and Q-varieties
    • H. Gillet, Intersection theory on algebraic stacks and Q-varieties, J. Pure Appl. Algebra 34 (1984), 193-240.
    • (1984) J. Pure Appl. Algebra , vol.34 , pp. 193-240
    • Gillet, H.1
  • 17
    • 0040040669 scopus 로고
    • Schemata over local rings
    • M. J. Greenberg, Schemata over local rings, Ann. Math. (2) 73 (1961), 624-648.
    • (1961) Ann. Math. (2) , vol.73 , pp. 624-648
    • Greenberg, M.J.1
  • 18
    • 0003922923 scopus 로고
    • Inst. Hautes Études Sci. Publ. Math, Paris, written with the collaboration of J. Dieudonné
    • A. Grothendieck, Éléments de géométric algébrique IV (Inst. Hautes Études Sci. Publ. Math., Paris, 1964-1967): written with the collaboration of J. Dieudonné.
    • (1964) Éléments de géométric algébrique IV
    • Grothendieck, A.1
  • 19
    • 0002254221 scopus 로고
    • The signature theorem, for V-manifolds
    • T. Kawasaki, The signature theorem, for V-manifolds, Topology 17 (1978), 75-83.
    • (1978) Topology , vol.17 , pp. 75-83
    • Kawasaki, T.1
  • 20
    • 0031506704 scopus 로고    scopus 로고
    • Quotients by groupoids
    • S. Keel and S. Mori, Quotients by groupoids, Ann. Math. (2) 145 (1997), 193-213.
    • (1997) Ann. Math. (2) , vol.145 , pp. 193-213
    • Keel, S.1    Mori, S.2
  • 21
    • 43449100118 scopus 로고    scopus 로고
    • J. Kollár and S. Mori, Birational geometry of algebraic varieties (Cambridge University Press, Cambridge. 1998): with the collaboration of C. H. Clemens and A. Corti (translated from the 1998 Japanese original).
    • J. Kollár and S. Mori, Birational geometry of algebraic varieties (Cambridge University Press, Cambridge. 1998): with the collaboration of C. H. Clemens and A. Corti (translated from the 1998 Japanese original).
  • 23
    • 43449115737 scopus 로고    scopus 로고
    • D. Knutson, Algebraic spaces, Lecture Notes in Mathematics, 203 (Springer, Berlin, 1971). M. Kontsevich, Lecture at Orsay, (1995).
    • D. Knutson, Algebraic spaces, Lecture Notes in Mathematics, vol. 203 (Springer, Berlin, 1971). M. Kontsevich, Lecture at Orsay, (1995).
  • 25
    • 33748755642 scopus 로고    scopus 로고
    • E. Looijenga, Motivic measures, in Séminaire Bourbaki, 1999/2000, Astérisque 278 (2002), 267-297.
    • E. Looijenga, Motivic measures, in Séminaire Bourbaki, vol. 1999/2000, Astérisque 278 (2002), 267-297.
  • 27
    • 0038872473 scopus 로고
    • Introduction to mixed Hodge modules
    • M. Saito, Introduction to mixed Hodge modules, Astérisque 179-180 (1989), 145-162.
    • (1989) Astérisque , vol.179-180 , pp. 145-162
    • Saito, M.1
  • 29
    • 0000364967 scopus 로고
    • Intersection theory on algebraic stacks and, on their moduli spaces
    • A. Vistoli, Intersection theory on algebraic stacks and, on their moduli spaces, Invent. Math. 97 (1989), 613-670.
    • (1989) Invent. Math , vol.97 , pp. 613-670
    • Vistoli, A.1
  • 30
    • 84972561260 scopus 로고
    • Certain invariant subrings are Gorensiein, I; II
    • K. Watanabe, Certain invariant subrings are Gorensiein, I; II, Osaka J. Math. 11 (1974), 1-8; 379-388.
    • (1974) Osaka J. Math , vol.11
    • Watanabe, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.